THE CORE INVERSE OF THE SUM IN A RING WITH INVOLUTION

Huanyin Chen, Marjan Sheibani Abdolyousefi

Abstract


We present a necessary and sufficient condition under which‎ ‎the sum of two commuting core invertible elements in a *-ring is core invertible‎. ‎As applications‎, ‎we establish various conditions under which a block complex with core invertible subblocks is core invertible‎.


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